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A population comprises 5 members. The number of all possible samples of size 2 that can be drawn from it with replacementis?
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A population comprises 5 members. The number of all possible samples o...
Calculating the Number of Possible Samples with Replacement
To calculate the number of possible samples of size 2 that can be drawn from a population of 5 members with replacement, we need to consider the concept of combinations with replacement.

Combinations with Replacement
Combinations with replacement refer to the number of ways to choose a certain number of items from a larger set, allowing for repetitions. In this case, we are selecting samples of 2 from a population of 5 members with replacement.

Formula for Combinations with Replacement
The formula to calculate the number of combinations with replacement is given by:
\[ n^r \]
where:
- n is the number of items in the population
- r is the size of the sample

Calculating for the Given Scenario
For a population of 5 members and a sample size of 2, the number of possible samples with replacement can be calculated as:
\[ 5^2 = 25 \]
Therefore, there are 25 possible samples of size 2 that can be drawn from a population of 5 members with replacement.
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A population comprises 5 members. The number of all possible samples of size 2 that can be drawn from it with replacementis?
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